Given the function f(x) where f(x)= { ((∫x^2 + 1 ,for {x:x D(f) 2)),((∫x^3 − 1,for y = f′(x))) :} a) Evaluate f(2) if f(a)= 2 + a^(n−1) find the value of a hence the domain of f(x).


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Question Number 38535 by Rio Mike last updated on 27/Jun/18
$Given the function f(x) where f(x)= { ((∫x^2 + 1 ,for {x:x D(f) 2)),((∫x^3 − 1,for y = f′(x))) :} a) Evaluate f(2) if f(a)= 2 + a^(n−1) find the value of a hence the domain of f(x).$
$G i v e n t h e f u n c t i o n$ $f (x) w h e r e$ $f (x) = {\begin{cases} \int x^{2} + 1, f o r {x : x D (f) 2 \\ \int x^{3} - 1, f o r y = f^{'} (x) \end{cases}$ $a) E v a l u a t e f (2)$ $i f f (a) = 2 + a^{n - 1}$ $f i n d t h e v a l u e o f a$ $h e n c e t h e d o m a i n o f f (x) .$
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